Subgroups — C₁₉×#60285 #18066244

Order 4864.

1762 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₉×#3444	C₂	1	1	yes	maximal, characteristic
2	C₁₉×#2995	C₂	1	4	yes	maximal, complemented
3	C₁₉×#2994	C₂	1	4	yes	maximal, complemented
4	C₁₉×#2985	C₂	1	2	yes	maximal, complemented
5	C₁₉×#2981	C₂	1	2	yes	maximal, complemented
6	C₁₉×#2976	C₂	1	4	yes	maximal, complemented
7	C₁₉×#2971	C₂	1	2	yes	maximal, complemented
8	C₁₉×#2970	C₂	1	4	yes	maximal, complemented
9	C₁₉×#2970	C₂	1	2	yes	maximal, complemented
10	C₁₉×#2923	C₂	1	4	yes	maximal, complemented
11	C₁₉×#2920	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₉×#432	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₉×#533	C₄	1	1	yes	characteristic
14	C₁₉×#533	C₄	1	1	yes	characteristic
15	C₁₉×#533	C₂²	1	1	yes	characteristic
16	C₁₉×#532	C₄	1	1	yes	characteristic
17	C₁₉×#532	C₄	1	1	yes	characteristic
18	C₁₉×#532	C₂²	1	1	yes	characteristic
19	C₁₉×#529	C₄	1	2	yes	—
20	C₁₉×#529	C₄	1	2	yes	—
21	C₁₉×#529	C₄	1	2	yes	—
22	C₁₉×#529	C₄	1	2	yes	—
23	C₁₉×#529	C₂²	1	2	yes	—
24	C₁₉×#529	C₂²	1	2	yes	—
25	C₁₉×#525	C₄	1	2	yes	—
26	C₁₉×#525	C₄	1	2	yes	—
27	C₁₉×#525	C₂²	1	2	yes	—
28	C₄×#41×C₁₉	C₂²	1	2	yes	—
29	C₄×#41×C₁₉	C₂²	1	2	yes	—
30	C₄×#41×C₁₉	C₂²	1	2	yes	—
31	C₂²×C₄²×C₁₉	C₂²	1	1	yes	characteristic
32	C₁₉×#446	C₂²	1	4	yes	complemented
33	C₁₉×#446	C₂²	1	8	yes	complemented
34	C₈×Q₈×C₁₉	C₂²	1	4	yes	complemented
35	C₁₉×#436	C₂²	1	8	yes	—
36	C₁₉×#436	C₂²	1	4	yes	complemented
37	C₁₉×#435	C₂²	1	8	yes	—
38	C₁₉×#435	C₂²	1	8	yes	—
39	C₁₉×#435	C₂²	1	8	yes	complemented
40	C₈×D₄×C₁₉	C₂²	1	8	yes	—
41	C₈×D₄×C₁₉	C₂²	1	4	yes	complemented
42	C₁₉×#433	C₂²	1	8	yes	—
43	C₁₉×#433	C₂²	1	8	yes	complemented
44	C₁₉×#432	C₂²	1	2	yes	—
45	C₁₉×#432	C₂²	1	2	yes	—
46	C₁₉×#432	C₂²	1	2	yes	—
47	C₁₉×#432	C₂²	1	2	yes	—
48	C₁₉×#432	C₂²	1	2	yes	—
49	C₁₉×#432	C₂²	1	2	yes	—
50	C₁₉×#432	C₂²	1	4	yes	complemented
51	C₁₉×#432	C₂²	1	4	yes	complemented
52	C₁₉×#431	C₂²	1	2	yes	—
53	C₁₉×#431	C₂²	1	2	yes	—
54	C₁₉×#424	C₂²	1	8	yes	complemented
55	C₁₉×#423	C₂²	1	2	yes	—
56	C₂×C₁₉×C₄⋊C₈	C₂²	1	2	yes	—
57	C₁₉×#408	C₂²	1	8	yes	—
58	C₁₉×#407	C₂²	1	2	yes	—
59	C₂×C₁₉×C₂²⋊C₈	C₂²	1	2	yes	—
60	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
61	C₄×M₁₆×C₁₉	C₂²	1	1	yes	characteristic
62	C₄×M₁₆×C₁₉	C₂²	1	4	yes	complemented
63	C₂×C₁₉×#97	C₂²	1	2	yes	—
64	C₂×C₁₉×#97	C₂²	1	4	yes	complemented
65	C₂×#41×C₁₉	C₂×C₄	1	2	yes	—
66	C₂×#41×C₁₉	C₂×C₄	1	2	yes	—
67	C₂×#41×C₁₉	C₂³	1	2	yes	—
68	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
69	C₂³×C₄×C₁₉	C₂×C₄	1	1	yes	characteristic
70	C₂³×C₄×C₁₉	C₂³	1	1	yes	characteristic
71	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
72	C₂×M₁₆×C₁₉	C₂³	1	2	yes	—
73	C₂×M₁₆×C₁₉	C₂³	1	8	yes	—
74	C₂²×C₈×C₁₉	C₂³	1	4	yes	—
75	C₂²×C₈×C₁₉	C₂³	1	8	yes	—
76	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
77	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
78	C₁₉×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
79	C₁₉×#127	C₂×C₄	1	1	yes	characteristic
80	C₁₉×#126	C₂×C₄	1	4	yes	—
81	C₁₉×#126	C₂×C₄	1	4	yes	—
82	C₁₉×#125	C₂×C₄	1	2	yes	—
83	C₁₉×#125	C₂×C₄	1	2	yes	—
84	C₁₉×#125	C₂×C₄	1	2	yes	—
85	C₁₉×#124	C₂×C₄	1	2	yes	—
86	C₁₉×#124	C₂×C₄	1	2	yes	—
87	C₁₉×#124	C₂×C₄	1	2	yes	—
88	C₁₉×#123	C₂×C₄	1	4	yes	—
89	C₁₉×#123	C₂×C₄	1	4	yes	—
90	C₁₉×#123	C₂×C₄	1	4	yes	—
91	C₁₉×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
92	C₁₉×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
93	C₁₉×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
94	C₁₉×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
95	C₁₉×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
96	C₁₉×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
97	C₁₉×#121	C₂×C₄	1	2	yes	—
98	C₁₉×#121	C₂×C₄	1	2	yes	—
99	C₁₉×#121	C₂×C₄	1	2	yes	—
100	C₁₉×#121	C₂×C₄	1	2	yes	—
101	C₁₉×#121	C₂×C₄	1	2	yes	—
102	C₁₉×#121	C₂×C₄	1	2	yes	—
103	C₁₉×#120	C₂×C₄	1	4	yes	—
104	C₄×Q₈×C₁₉	C₂×C₄	1	2	yes	—
105	C₄×Q₈×C₁₉	C₂×C₄	1	2	yes	—
106	C₄×Q₈×C₁₉	C₂×C₄	1	2	yes	—
107	C₄×Q₈×C₁₉	C₂×C₄	1	2	yes	—
108	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
109	C₄×Q₈×C₁₉	C₂³	1	2	yes	—
110	C₄×D₄×C₁₉	C₂×C₄	1	4	yes	—
111	C₄×D₄×C₁₉	C₂×C₄	1	4	yes	—
112	C₄×D₄×C₁₉	C₂×C₄	1	4	yes	—
113	C₄×D₄×C₁₉	C₂×C₄	1	4	yes	—
114	C₄×D₄×C₁₉	C₂×C₄	1	2	yes	—
115	C₄×D₄×C₁₉	C₂×C₄	1	2	yes	—
116	C₄×D₄×C₁₉	C₂×C₄	1	2	yes	—
117	C₄×D₄×C₁₉	C₂×C₄	1	2	yes	—
118	C₄×D₄×C₁₉	C₂³	1	4	yes	—
119	C₄×D₄×C₁₉	C₂³	1	2	yes	—
120	C₄×D₄×C₁₉	C₂³	1	4	yes	—
121	C₄×D₄×C₁₉	C₂³	1	2	yes	—
122	C₁₉×#117	C₂×C₄	1	2	yes	—
123	C₁₉×#117	C₂×C₄	1	2	yes	—
124	C₁₉×#117	C₂×C₄	1	4	yes	—
125	C₁₉×#117	C₂×C₄	1	4	yes	—
126	C₁₉×#117	C₂³	1	4	yes	—
127	C₁₉×#117	C₂³	1	2	yes	—
128	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
129	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
130	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
131	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
132	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
133	C₂×C₄²×C₁₉	C₂×C₄	1	1	yes	characteristic
134	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
135	C₂×C₄²×C₁₉	C₂³	1	4	yes	—
136	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
137	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
138	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
139	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
140	C₂×C₄²×C₁₉	C₂³	1	1	yes	characteristic
141	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
142	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
143	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
144	C₁₉×C₄⋊C₈	C₂³	1	4	yes	—
145	C₁₉×C₄⋊C₈	C₂³	1	8	yes	—
146	C₁₉×C₄⋊C₈	C₂³	1	8	yes	—
147	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
148	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
149	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
150	C₁₉×C₂²⋊C₈	C₂³	1	4	yes	—
151	C₁₉×C₂²⋊C₈	C₂³	1	8	yes	—
152	C₁₉×C₂²⋊C₈	C₂³	1	8	yes	—
153	C₁₉×#97	C₂³	1	4	yes	—
154	C₁₉×#97	C₂³	1	4	yes	—
155	C₁₉×#97	C₂³	1	2	yes	—
156	C₁₉×#97	C₂³	1	8	yes	—
157	C₁₉×#97	C₂³	1	2	yes	—
158	C₄×C₈×C₁₉	C₂³	1	2	yes	—
159	C₄×C₈×C₁₉	C₂³	1	2	yes	—
160	C₄×C₈×C₁₉	C₂³	1	8	yes	—
161	C₂⁴×C₁₉	C₂²×C₄	1	1	yes	characteristic
162	#41×C₁₉	—	4	4	no	—
163	#41×C₁₉	—	4	4	no	—
164	#41×C₁₉	—	4	4	no	—
165	C₂×Q₈×C₁₉	C₂²×C₄	1	2	yes	—
166	C₂×Q₈×C₁₉	C₂²×C₄	1	2	yes	—
167	C₂×Q₈×C₁₉	C₂²×C₄	1	2	yes	—
168	C₂×D₄×C₁₉	C₂²×C₄	1	4	yes	—
169	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
170	C₂×D₄×C₁₉	C₂²×C₄	1	4	yes	—
171	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
172	C₂×D₄×C₁₉	C₂²×C₄	1	4	yes	—
173	C₂×D₄×C₁₉	C₂²×C₄	1	2	yes	—
174	C₂²×C₄×C₁₉	—	4	2	no	—
175	C₂²×C₄×C₁₉	—	4	2	no	—
176	C₂²×C₄×C₁₉	—	4	2	no	—
177	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
178	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
179	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
180	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
181	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
182	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
183	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
184	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
185	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
186	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
187	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
188	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
189	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
190	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
191	C₂²×C₄×C₁₉	C₂²×C₄	1	1	yes	characteristic
192	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
193	C₂²×C₄×C₁₉	C₂²×C₄	1	4	yes	—
194	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
195	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
196	C₂²×C₄×C₁₉	C₂⁴	1	1	yes	characteristic
197	C₂²×C₄×C₁₉	C₂⁴	1	4	yes	—
198	M₁₆×C₁₉	—	4	2	no	—
199	M₁₆×C₁₉	—	4	8	no	—
200	M₁₆×C₁₉	—	4	2	no	—
201	C₂×C₈×C₁₉	—	4	4	no	—
202	C₂×C₈×C₁₉	—	4	8	no	—
203	C₂×C₈×C₁₉	C₂⁴	1	8	yes	—
204	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
205	C₂×C₈×C₁₉	C₂⁴	1	4	yes	—
206	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
207	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
208	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
209	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
210	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
211	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
212	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
213	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
214	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
215	C₄⋊C₄×C₁₉	C₂²×C₄	1	2	yes	—
216	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
217	C₄⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
218	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
219	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
220	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
221	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
222	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
223	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
224	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
225	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
226	C₂²⋊C₄×C₁₉	C₂²×C₄	1	4	yes	—
227	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
228	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
229	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
230	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
231	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
232	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
233	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
234	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
235	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
236	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
237	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
238	C₄²×C₁₉	C₂²×C₄	1	1	yes	characteristic
239	C₄²×C₁₉	C₂²×C₄	1	4	yes	—
240	C₄²×C₁₉	C₂²×C₄	1	4	yes	—
241	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
242	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
243	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
244	C₄²×C₁₉	C₂⁴	1	1	yes	characteristic
245	C₄²×C₁₉	C₂⁴	1	4	yes	—
246	#60285	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
247	C₂³×C₁₉	—	2	2	no	—
248	C₂³×C₁₉	—	4	1	no	—
249	C₂³×C₁₉	—	4	1	no	—
250	C₂³×C₁₉	C₂³×C₄	1	4	yes	—
251	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
252	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
253	C₂³×C₁₉	C₂³×C₄	1	1	yes	characteristic
254	Q₈×C₁₉	—	2	4	no	—
255	Q₈×C₁₉	—	4	2	no	—
256	Q₈×C₁₉	—	4	2	no	—
257	D₄×C₁₉	—	2	8	no	—
258	D₄×C₁₉	—	2	4	no	—
259	D₄×C₁₉	—	4	2	no	—
260	D₄×C₁₉	—	4	4	no	—
261	D₄×C₁₉	—	4	2	no	—
262	D₄×C₁₉	—	4	4	no	—
263	C₂×C₄×C₁₉	—	2	2	no	—
264	C₂×C₄×C₁₉	—	2	2	no	—
265	C₂×C₄×C₁₉	—	2	2	no	—
266	C₂×C₄×C₁₉	—	2	2	no	—
267	C₂×C₄×C₁₉	—	2	2	no	—
268	C₂×C₄×C₁₉	—	2	2	no	—
269	C₂×C₄×C₁₉	—	2	8	no	—
270	C₂×C₄×C₁₉	—	2	2	no	—
271	C₂×C₄×C₁₉	—	2	2	no	—
272	C₂×C₄×C₁₉	—	4	1	no	—
273	C₂×C₄×C₁₉	—	4	1	no	—
274	C₂×C₄×C₁₉	—	4	1	no	—
275	C₂×C₄×C₁₉	—	4	1	no	—
276	C₂×C₄×C₁₉	—	4	1	no	—
277	C₂×C₄×C₁₉	—	4	1	no	—
278	C₂×C₄×C₁₉	—	4	1	no	—
279	C₂×C₄×C₁₉	—	4	1	no	—
280	C₂×C₄×C₁₉	—	4	1	no	—
281	C₂×C₄×C₁₉	—	4	1	no	—
282	C₂×C₄×C₁₉	—	4	4	no	—
283	C₂×C₄×C₁₉	—	4	4	no	—
284	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
285	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
286	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
287	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
288	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
289	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
290	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
291	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
292	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
293	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
294	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
295	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
296	C₂×C₄×C₁₉	C₂³×C₄	1	4	yes	—
297	C₂×C₄×C₁₉	C₂³×C₄	1	1	yes	characteristic
298	C₂×C₄×C₁₉	C₂⁵	1	1	yes	characteristic
299	C₈×C₁₉	—	2	8	no	—
300	C₈×C₁₉	—	2	4	no	—
301	C₈×C₁₉	—	2	4	no	—
302	#3444	C₂×C₁₉	1	1	yes	characteristic
303	#2995	C₂×C₁₉	1	4	yes	complemented
304	#2994	C₂×C₁₉	1	4	yes	complemented
305	#2985	C₂×C₁₉	1	2	yes	complemented
306	#2981	C₂×C₁₉	1	2	yes	complemented
307	#2976	C₂×C₁₉	1	4	yes	complemented
308	#2971	C₂×C₁₉	1	2	yes	complemented
309	#2970	C₂×C₁₉	1	4	yes	complemented
310	#2970	C₂×C₁₉	1	2	yes	complemented
311	#2923	C₂×C₁₉	1	4	yes	complemented
312	#2920	C₂×C₁₉	1	1	yes	characteristic, complemented
313	C₂×#432	C₂×C₁₉	1	1	yes	characteristic, complemented
314	C₂²×C₁₉	—	2	1	no	—
315	C₂²×C₁₉	—	2	1	no	—
316	C₂²×C₁₉	—	2	1	no	—
317	C₂²×C₁₉	—	2	1	no	—
318	C₂²×C₁₉	—	2	4	no	—
319	C₂²×C₁₉	—	2	1	no	—
320	C₂²×C₁₉	—	2	1	no	—
321	C₂²×C₁₉	—	2	1	no	—
322	C₂²×C₁₉	—	2	1	no	—
323	C₂²×C₁₉	—	2	4	no	—
324	C₂²×C₁₉	—	2	4	no	—
325	C₂²×C₁₉	—	4	4	no	—
326	C₂²×C₁₉	#568	1	2	yes	—
327	C₂²×C₁₉	C₂⁴×C₄	1	1	yes	characteristic
328	C₄×C₁₉	—	2	1	no	—
329	C₄×C₁₉	—	2	1	no	—
330	C₄×C₁₉	—	2	1	no	—
331	C₄×C₁₉	—	2	4	no	—
332	C₄×C₁₉	—	2	1	no	—
333	C₄×C₁₉	—	2	1	no	—
334	C₄×C₁₉	—	2	1	no	—
335	C₄×C₁₉	—	2	1	no	—
336	C₄×C₁₉	—	2	1	no	—
337	C₄×C₁₉	—	2	1	no	—
338	C₄×C₁₉	—	2	1	no	—
339	C₄×C₁₉	—	2	4	no	—
340	C₄×C₁₉	—	2	4	no	—
341	C₄×C₁₉	#568	1	2	yes	—
342	C₄×C₁₉	#585	1	2	yes	—
343	#533	C₄×C₁₉	1	1	yes	characteristic
344	#533	C₄×C₁₉	1	1	yes	characteristic
345	#533	C₂²×C₁₉	1	1	yes	characteristic
346	#532	C₄×C₁₉	1	1	yes	characteristic
347	#532	C₄×C₁₉	1	1	yes	characteristic
348	#532	C₂²×C₁₉	1	1	yes	characteristic
349	#529	C₄×C₁₉	1	2	yes	—
350	#529	C₄×C₁₉	1	2	yes	—
351	#529	C₄×C₁₉	1	2	yes	—
352	#529	C₄×C₁₉	1	2	yes	—
353	#529	C₂²×C₁₉	1	2	yes	—
354	#529	C₂²×C₁₉	1	2	yes	—
355	#525	C₄×C₁₉	1	2	yes	—
356	#525	C₄×C₁₉	1	2	yes	—
357	#525	C₂²×C₁₉	1	2	yes	—
358	C₄×#41	C₂²×C₁₉	1	2	yes	—
359	C₄×#41	C₂²×C₁₉	1	2	yes	—
360	C₄×#41	C₂²×C₁₉	1	2	yes	—
361	C₂²×C₄²	C₂²×C₁₉	1	1	yes	characteristic
362	#446	C₂²×C₁₉	1	4	yes	complemented
363	#446	C₂²×C₁₉	1	8	yes	complemented
364	C₈×Q₈	C₂²×C₁₉	1	4	yes	complemented
365	#436	C₂²×C₁₉	1	8	yes	—
366	#436	C₂²×C₁₉	1	4	yes	complemented
367	#435	C₂²×C₁₉	1	8	yes	—
368	#435	C₂²×C₁₉	1	8	yes	—
369	#435	C₂²×C₁₉	1	8	yes	complemented
370	C₈×D₄	C₂²×C₁₉	1	8	yes	—
371	C₈×D₄	C₂²×C₁₉	1	4	yes	complemented
372	#433	C₂²×C₁₉	1	8	yes	—
373	#433	C₂²×C₁₉	1	8	yes	complemented
374	#432	C₂²×C₁₉	1	2	yes	—
375	#432	C₂²×C₁₉	1	2	yes	—
376	#432	C₂²×C₁₉	1	2	yes	—
377	#432	C₂²×C₁₉	1	2	yes	—
378	#432	C₂²×C₁₉	1	2	yes	—
379	#432	C₂²×C₁₉	1	2	yes	—
380	#432	C₂²×C₁₉	1	4	yes	complemented
381	#432	C₂²×C₁₉	1	4	yes	complemented
382	#431	C₂²×C₁₉	1	2	yes	—
383	#431	C₂²×C₁₉	1	2	yes	—
384	#424	C₂²×C₁₉	1	8	yes	complemented
385	#423	C₂²×C₁₉	1	2	yes	—
386	C₂×C₄⋊C₈	C₂²×C₁₉	1	2	yes	—
387	#408	C₂²×C₁₉	1	8	yes	—
388	#407	C₂²×C₁₉	1	2	yes	—
389	C₂×C₂²⋊C₈	C₂²×C₁₉	1	2	yes	—
390	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
391	C₄×M₁₆	C₂²×C₁₉	1	1	yes	characteristic
392	C₄×M₁₆	C₂²×C₁₉	1	4	yes	complemented
393	C₂×#97	C₂²×C₁₉	1	2	yes	—
394	C₂×#97	C₂²×C₁₉	1	4	yes	complemented
395	C₂×C₁₉	—	2	2	no	—
396	C₂×C₁₉	—	4	4	no	—
397	C₂×C₁₉	—	4	1	no	—
398	C₂×C₁₉	—	4	1	no	—
399	C₂×C₁₉	#3428	1	1	yes	characteristic
400	C₂×C₁₉	C₂×#568	1	1	yes	characteristic
401	C₂×C₁₉	C₂×#568	1	1	yes	characteristic
402	C₂×#41	C₂×C₄×C₁₉	1	2	yes	—
403	C₂×#41	C₂×C₄×C₁₉	1	2	yes	—
404	C₂×#41	C₂³×C₁₉	1	2	yes	—
405	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
406	C₂³×C₄	C₂×C₄×C₁₉	1	1	yes	characteristic
407	C₂³×C₄	C₂³×C₁₉	1	1	yes	characteristic
408	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
409	C₂×M₁₆	C₂³×C₁₉	1	2	yes	—
410	C₂×M₁₆	C₂³×C₁₉	1	8	yes	—
411	C₂²×C₈	C₂³×C₁₉	1	4	yes	—
412	C₂²×C₈	C₂³×C₁₉	1	8	yes	—
413	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
414	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
415	C₄⋊Q₈	C₂×C₄×C₁₉	1	1	yes	characteristic
416	#127	C₂×C₄×C₁₉	1	1	yes	characteristic
417	#126	C₂×C₄×C₁₉	1	4	yes	—
418	#126	C₂×C₄×C₁₉	1	4	yes	—
419	#125	C₂×C₄×C₁₉	1	2	yes	—
420	#125	C₂×C₄×C₁₉	1	2	yes	—
421	#125	C₂×C₄×C₁₉	1	2	yes	—
422	#124	C₂×C₄×C₁₉	1	2	yes	—
423	#124	C₂×C₄×C₁₉	1	2	yes	—
424	#124	C₂×C₄×C₁₉	1	2	yes	—
425	#123	C₂×C₄×C₁₉	1	4	yes	—
426	#123	C₂×C₄×C₁₉	1	4	yes	—
427	#123	C₂×C₄×C₁₉	1	4	yes	—
428	C₂²⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
429	C₂²⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
430	C₂²⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
431	C₂²⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
432	C₂²⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
433	C₂²⋊Q₈	C₂×C₄×C₁₉	1	2	yes	—
434	#121	C₂×C₄×C₁₉	1	2	yes	—
435	#121	C₂×C₄×C₁₉	1	2	yes	—
436	#121	C₂×C₄×C₁₉	1	2	yes	—
437	#121	C₂×C₄×C₁₉	1	2	yes	—
438	#121	C₂×C₄×C₁₉	1	2	yes	—
439	#121	C₂×C₄×C₁₉	1	2	yes	—
440	#120	C₂×C₄×C₁₉	1	4	yes	—
441	C₄×Q₈	C₂×C₄×C₁₉	1	2	yes	—
442	C₄×Q₈	C₂×C₄×C₁₉	1	2	yes	—
443	C₄×Q₈	C₂×C₄×C₁₉	1	2	yes	—
444	C₄×Q₈	C₂×C₄×C₁₉	1	2	yes	—
445	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
446	C₄×Q₈	C₂³×C₁₉	1	2	yes	—
447	C₄×D₄	C₂×C₄×C₁₉	1	4	yes	—
448	C₄×D₄	C₂×C₄×C₁₉	1	4	yes	—
449	C₄×D₄	C₂×C₄×C₁₉	1	4	yes	—
450	C₄×D₄	C₂×C₄×C₁₉	1	4	yes	—
451	C₄×D₄	C₂×C₄×C₁₉	1	2	yes	—
452	C₄×D₄	C₂×C₄×C₁₉	1	2	yes	—
453	C₄×D₄	C₂×C₄×C₁₉	1	2	yes	—
454	C₄×D₄	C₂×C₄×C₁₉	1	2	yes	—
455	C₄×D₄	C₂³×C₁₉	1	4	yes	—
456	C₄×D₄	C₂³×C₁₉	1	4	yes	—
457	C₄×D₄	C₂³×C₁₉	1	2	yes	—
458	C₄×D₄	C₂³×C₁₉	1	2	yes	—
459	#117	C₂×C₄×C₁₉	1	2	yes	—
460	#117	C₂×C₄×C₁₉	1	2	yes	—
461	#117	C₂×C₄×C₁₉	1	4	yes	—
462	#117	C₂×C₄×C₁₉	1	4	yes	—
463	#117	C₂³×C₁₉	1	2	yes	—
464	#117	C₂³×C₁₉	1	4	yes	—
465	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
466	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
467	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
468	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
469	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
470	C₂×C₄²	C₂×C₄×C₁₉	1	1	yes	characteristic
471	C₂×C₄²	C₂³×C₁₉	1	4	yes	—
472	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
473	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
474	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
475	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
476	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
477	C₂×C₄²	C₂³×C₁₉	1	1	yes	characteristic
478	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
479	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
480	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
481	C₄⋊C₈	C₂³×C₁₉	1	4	yes	—
482	C₄⋊C₈	C₂³×C₁₉	1	8	yes	—
483	C₄⋊C₈	C₂³×C₁₉	1	8	yes	—
484	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
485	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
486	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
487	C₂²⋊C₈	C₂³×C₁₉	1	4	yes	—
488	C₂²⋊C₈	C₂³×C₁₉	1	8	yes	—
489	C₂²⋊C₈	C₂³×C₁₉	1	8	yes	—
490	#97	C₂³×C₁₉	1	4	yes	—
491	#97	C₂³×C₁₉	1	4	yes	—
492	#97	C₂³×C₁₉	1	2	yes	—
493	#97	C₂³×C₁₉	1	8	yes	—
494	#97	C₂³×C₁₉	1	2	yes	—
495	C₄×C₈	C₂³×C₁₉	1	2	yes	—
496	C₄×C₈	C₂³×C₁₉	1	2	yes	—
497	C₄×C₈	C₂³×C₁₉	1	8	yes	—
498	C₁₉	#60285	1	1	yes	characteristic, direct product factor, Sylow
499	C₂⁴	C₂²×C₄×C₁₉	1	1	yes	characteristic
500	#41	—	4	4	no	—
501	#41	—	4	4	no	—
502	#41	—	4	4	no	—
503	C₂×Q₈	C₂²×C₄×C₁₉	1	2	yes	—
504	C₂×Q₈	C₂²×C₄×C₁₉	1	2	yes	—
505	C₂×Q₈	C₂²×C₄×C₁₉	1	2	yes	—
506	C₂×D₄	C₂²×C₄×C₁₉	1	4	yes	—
507	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
508	C₂×D₄	C₂²×C₄×C₁₉	1	4	yes	—
509	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
510	C₂×D₄	C₂²×C₄×C₁₉	1	4	yes	—
511	C₂×D₄	C₂²×C₄×C₁₉	1	2	yes	—
512	C₂²×C₄	—	4	2	no	—
513	C₂²×C₄	—	4	2	no	—
514	C₂²×C₄	—	4	2	no	—
515	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
516	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
517	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
518	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
519	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
520	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
521	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
522	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
523	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
524	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
525	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
526	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
527	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
528	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
529	C₂²×C₄	C₂²×C₄×C₁₉	1	1	yes	characteristic
530	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
531	C₂²×C₄	C₂²×C₄×C₁₉	1	4	yes	—
532	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
533	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
534	C₂²×C₄	C₂⁴×C₁₉	1	1	yes	characteristic
535	C₂²×C₄	C₂⁴×C₁₉	1	4	yes	—
536	M₁₆	—	4	2	no	—
537	M₁₆	—	4	8	no	—
538	M₁₆	—	4	2	no	—
539	C₂×C₈	—	4	4	no	—
540	C₂×C₈	—	4	8	no	—
541	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
542	C₂×C₈	C₂⁴×C₁₉	1	4	yes	—
543	C₂×C₈	C₂⁴×C₁₉	1	8	yes	—
544	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
545	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
546	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
547	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
548	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
549	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
550	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
551	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
552	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
553	C₄⋊C₄	C₂²×C₄×C₁₉	1	2	yes	—
554	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
555	C₄⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
556	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
557	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
558	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
559	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
560	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
561	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
562	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
563	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
564	C₂²⋊C₄	C₂²×C₄×C₁₉	1	4	yes	—
565	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
566	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
567	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
568	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
569	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
570	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
571	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
572	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
573	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
574	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
575	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
576	C₄²	C₂²×C₄×C₁₉	1	1	yes	characteristic
577	C₄²	C₂²×C₄×C₁₉	1	4	yes	—
578	C₄²	C₂²×C₄×C₁₉	1	4	yes	—
579	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
580	C₄²	C₂⁴×C₁₉	1	4	yes	—
581	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
582	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
583	C₄²	C₂⁴×C₁₉	1	1	yes	characteristic
584	C₂³	—	2	2	no	—
585	C₂³	—	4	1	no	—
586	C₂³	—	4	1	no	—
587	C₂³	C₂³×C₄×C₁₉	1	4	yes	—
588	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
589	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
590	C₂³	C₂³×C₄×C₁₉	1	1	yes	characteristic
591	Q₈	—	2	4	no	—
592	Q₈	—	4	2	no	—
593	Q₈	—	4	2	no	—
594	D₄	—	2	8	no	—
595	D₄	—	2	4	no	—
596	D₄	—	4	2	no	—
597	D₄	—	4	4	no	—
598	D₄	—	4	2	no	—
599	D₄	—	4	4	no	—
600	C₂×C₄	—	2	2	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	2	no	—
603	C₂×C₄	—	2	2	no	—
604	C₂×C₄	—	2	2	no	—
605	C₂×C₄	—	2	2	no	—
606	C₂×C₄	—	2	8	no	—
607	C₂×C₄	—	2	2	no	—
608	C₂×C₄	—	2	2	no	—
609	C₂×C₄	—	4	1	no	—
610	C₂×C₄	—	4	1	no	—
611	C₂×C₄	—	4	1	no	—
612	C₂×C₄	—	4	1	no	—
613	C₂×C₄	—	4	1	no	—
614	C₂×C₄	—	4	1	no	—
615	C₂×C₄	—	4	1	no	—
616	C₂×C₄	—	4	1	no	—
617	C₂×C₄	—	4	1	no	—
618	C₂×C₄	—	4	1	no	—
619	C₂×C₄	—	4	4	no	—
620	C₂×C₄	—	4	4	no	—
621	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
622	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
623	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
624	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
625	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
626	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
627	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
628	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
629	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
630	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
631	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
632	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
633	C₂×C₄	C₂³×C₄×C₁₉	1	4	yes	—
634	C₂×C₄	C₂³×C₄×C₁₉	1	1	yes	characteristic
635	C₂×C₄	C₂⁵×C₁₉	1	1	yes	characteristic
636	C₈	—	2	8	no	—
637	C₈	—	2	4	no	—
638	C₈	—	2	4	no	—
639	C₂²	—	2	1	no	—
640	C₂²	—	2	1	no	—
641	C₂²	—	2	1	no	—
642	C₂²	—	2	1	no	—
643	C₂²	—	2	4	no	—
644	C₂²	—	2	1	no	—
645	C₂²	—	2	1	no	—
646	C₂²	—	2	1	no	—
647	C₂²	—	2	1	no	—
648	C₂²	—	2	4	no	—
649	C₂²	—	2	4	no	—
650	C₂²	—	4	4	no	—
651	C₂²	C₁₉×#568	1	2	yes	—
652	C₂²	C₂⁴×C₄×C₁₉	1	1	yes	characteristic
653	C₄	—	2	1	no	—
654	C₄	—	2	1	no	—
655	C₄	—	2	1	no	—
656	C₄	—	2	4	no	—
657	C₄	—	2	1	no	—
658	C₄	—	2	1	no	—
659	C₄	—	2	1	no	—
660	C₄	—	2	1	no	—
661	C₄	—	2	1	no	—
662	C₄	—	2	1	no	—
663	C₄	—	2	1	no	—
664	C₄	—	2	4	no	—
665	C₄	—	2	4	no	—
666	C₄	C₁₉×#568	1	2	yes	—
667	C₄	C₁₉×#585	1	2	yes	—
668	C₂	—	2	2	no	—
669	C₂	—	4	1	no	—
670	C₂	—	4	1	no	—
671	C₂	—	4	4	no	—
672	C₂	C₁₉×#3428	1	1	yes	characteristic
673	C₂	C₂×C₁₉×#568	1	1	yes	characteristic
674	C₂	C₂×C₁₉×#568	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₉	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₉
Frattini, cosocle	C₂×C₄	C₂⁵×C₁₉
socle	C₂²×C₁₉	C₂⁴×C₄
prime radical	C₁₉×#3444	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₁₉×#2995	C₂	semidirect
3. C₁₉×#2994	C₂	semidirect
4. C₁₉×#2985	C₂	semidirect
5. C₁₉×#2981	C₂	semidirect
6. C₁₉×#2976	C₂	semidirect
7. C₁₉×#2971	C₂	semidirect
8. C₁₉×#2970	C₂	semidirect
9. C₁₉×#2970	C₂	semidirect
10. C₁₉×#2923	C₂	semidirect
11. C₁₉×#2920	C₂	semidirect
12. C₂×C₁₉×#432	C₂	semidirect
32. C₁₉×#446	C₂²	semidirect
33. C₁₉×#446	C₂²	semidirect
34. C₈×Q₈×C₁₉	C₂²	semidirect
36. C₁₉×#436	C₂²	semidirect
39. C₁₉×#435	C₂²	semidirect
41. C₈×D₄×C₁₉	C₂²	semidirect
43. C₁₉×#433	C₂²	semidirect
50. C₁₉×#432	C₂²	semidirect
51. C₁₉×#432	C₂²	semidirect
54. C₁₉×#424	C₂²	semidirect
62. C₄×M₁₆×C₁₉	C₂²	semidirect
64. C₂×C₁₉×#97	C₂²	semidirect
246. #60285	C₁₉	direct (N × H)
303. #2995	C₂×C₁₉	semidirect
304. #2994	C₂×C₁₉	semidirect
305. #2985	C₂×C₁₉	semidirect
306. #2981	C₂×C₁₉	semidirect
307. #2976	C₂×C₁₉	semidirect
308. #2971	C₂×C₁₉	semidirect
309. #2970	C₂×C₁₉	semidirect
310. #2970	C₂×C₁₉	semidirect
311. #2923	C₂×C₁₉	semidirect
312. #2920	C₂×C₁₉	semidirect
313. C₂×#432	C₂×C₁₉	semidirect
362. #446	C₂²×C₁₉	semidirect
363. #446	C₂²×C₁₉	semidirect
364. C₈×Q₈	C₂²×C₁₉	semidirect
366. #436	C₂²×C₁₉	semidirect
369. #435	C₂²×C₁₉	semidirect
371. C₈×D₄	C₂²×C₁₉	semidirect
373. #433	C₂²×C₁₉	semidirect
380. #432	C₂²×C₁₉	semidirect
381. #432	C₂²×C₁₉	semidirect
384. #424	C₂²×C₁₉	semidirect
392. C₄×M₁₆	C₂²×C₁₉	semidirect
394. C₂×#97	C₂²×C₁₉	semidirect
498. C₁₉	#60285	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₉×#3444	2
C₁₉×#2995	2
C₁₉×#2994	2
C₁₉×#2985	2
C₁₉×#2981	2
C₁₉×#2976	2
C₁₉×#2971	2
C₁₉×#2970	2
C₁₉×#2923	2
C₁₉×#2920	2
C₂×C₁₉×#432	2
#60285	19

Subgroups — C19×#60285 #18066244

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₉×#60285 #18066244